Question

In: Physics

Incident photons of energy 11,905 eV are Compton scattered, and the scattered beam is observed at...

Incident photons of energy 11,905 eV are Compton scattered, and the scattered beam is observed at 66 degrees relative to the incident beam. What is the energy of the scattered photons at that angle, in eV?

Solutions

Expert Solution

Shift in wavelength of photon in Compton scattering is given by

Where is the initial wavelength of photon, is wavelength of scattered photon, and is angle at which the beam scattered with respect to the initial beam direction.

The wavelength of the incident beam is

And the angle of scattering is 66 degrees.

Putting this in the equation mentioned above, we get

Or

or, ​​​​​​

So, the energy of the scattered photon in eV at this angle is


Related Solutions

a. Compute the energy of a photon with incident energy 200 kev scattered at 90° in...
a. Compute the energy of a photon with incident energy 200 kev scattered at 90° in a Compton event. b. Compute the energy of the backscattered photon from a 400 kev incident photon. c. Compute the energy of the recoil electron.
Photons of wavelength 65.0 pm are Compton-scattered from a free electron which picks up a kinetic...
Photons of wavelength 65.0 pm are Compton-scattered from a free electron which picks up a kinetic energy of 0.55 keV from the collision. What is the wavelength of the scattered photon?  
A 0.046-nm x-ray is incident on a stationary electron. A scattered photon is observed at 94°....
A 0.046-nm x-ray is incident on a stationary electron. A scattered photon is observed at 94°. Find the energy of the scattered photon E'γ= ______ keV and its wavelength λ'= _________ nm Find the kinetic energy of recoiled electron K= _______keV Find the speed of recoiled electron as a fraction of speed of light: v/c= ________
A 0.077-nm x-ray is incident on a stationary electron. A scattered photon is observed at 102°....
A 0.077-nm x-ray is incident on a stationary electron. A scattered photon is observed at 102°. Find the energy of the scattered photon E'γ= keV and its wavelength λ'= nm. Find the kinetic energy of recoiled electron K= keV. Find the speed of recoiled electron as a fraction of speed of light: v/c= .
A parallel beam of 1-MeV photons is normally incident on a sheet of uranium, 1.0mm thick....
A parallel beam of 1-MeV photons is normally incident on a sheet of uranium, 1.0mm thick. The incident beam intensity is 10^4MeVcm-2s-1 1) calculate the energy fluence rate transmitted by the sheet 2) what fraction of the transmitted energy fluence rate is due to uncollided photon? 3) what physical processes are responsible for energy transfer to the sheet? 4) what processes are responsible for energy absorption jn the sheet?
A beam of electrons with energy 250 MeV is elastically scattered through an angle of 10°...
A beam of electrons with energy 250 MeV is elastically scattered through an angle of 10° by a heavy nucleus that is at rest. It is found that the differential cross-section is 65% of that expected for scattering from a point-nucleus. Estimate the root mean square radius of the nucleus. Neglect the recoil of the nucleus and use the rest mass of the electron as 0.511 MeV/c2.
A parallel beam of 1-MeV photons is normally incident on a 1.2-cm aluminum slab (ρ =...
A parallel beam of 1-MeV photons is normally incident on a 1.2-cm aluminum slab (ρ = 2.70 g cm–3 ) at a rate of 103 s–1 . The mass attenuation and mass energy- absorption coefficients are, respectively, 0.0620 cm2 g–1 and 0.0270 cm2 g–1. What fraction of the photons is transmitted without interacting? What fraction of the incident photon energy is transmitted by the slab? How much energy is absorbed per second by the slab? What fraction of the transmitted...
A sample is exposed to green light with the energy of 2.4 eV and electron beam...
A sample is exposed to green light with the energy of 2.4 eV and electron beam of 100 KeV energy. a) Calculate the wave length of the photons and electrons in this experiment. Which signal has a higher wave length? Explain. (10 points) b) Assuming a convergence angle of 30 degrees for the aperture used in an imaging experiment for these waves, calculate the resolution for the photon and electron beam in this experiment (assuming there is no lens aberrations...
A sample is exposed to green light with the energy of 2.4 eV and electron beam...
A sample is exposed to green light with the energy of 2.4 eV and electron beam of 100 KeV energy. a) Calculate the wave length of the photons and electrons in this experiment. Which signal has a higher wave length? Explain. (10 points) b) Assuming a convergence angle of 30 degrees for the aperture used in an imaging experiment for these waves, calculate the resolution for the photon and electron beam in this experiment (assuming there is no lens aberrations...
In a Compton scattering experiment, an incident photon of energy 295.00 kev scatters off a loosely...
In a Compton scattering experiment, an incident photon of energy 295.00 kev scatters off a loosely bound electron resulting in the scattered photon to have an energy of 159.00 kev. a. Determine the scattering angle for the scattered photon, relative to the original direction of travel, and b. Determine the energy of the scattered electron. c. If the photon is back scattered (θ = 180°), determine the momentum of the scattered electron, in units of (kg m/s).
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT